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Finding the Fourth Proportional to 186,483.22, 257,337.90 and 105,900.10

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Solution

The fourth proportional to 186,483.22, 257,337.90 and 105,900.10 is: 146,137.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,483.22 : 257,337.90 = 105,900.10 : x
  2. Step 2: Convert to fraction form
    186,483.22/257,337.90 = 105,900.10/x
  3. Step 3: Cross multiply
    186,483.22x = 257,337.90 × 105,900.10
  4. Step 4: Simplify right side
    186,483.22x = 27,252,109,343.79
  5. Step 5: Solve for x
    x = 27,252,109,343.79/186,483.22
  6. Step 6: Final answer
    x = 146,137.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.